No, the Registry app does not natively support Venmo.
But it is easy to use venmo. Just have your guests or donors submit a Pledge on the registry and in the Notes, where is reads:
"Please write a note about your pledge:"
...Have them note the Venmo contribution.
If you want to encourage the Venmo transactions, put a note that the end of the Our Story text with your Venmo user name.
We can't be head liable for Venmo payments sent to the wrong person or otherwise not received.